Some special triangular numbers and recurring sequences

Adina Di Porto and Piero Filipponi
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132
Volume 1, 1995, Number 1, Pages 11–26
Full paper (PDF, 8.7 Mb

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Authors and affiliations

Adina Di Porto
Fondazione Ugo Bordoni Via B. Castiglione 59, 1-00142 Rome, Italy

Piero Filipponi
Fondazione Ugo Bordoni Via B. Castiglione 59, 1-00142 Rome, Italy

Abstract

A cute note [1] which recently appeared in literature puts into evidence the interrelationships among triangular numbers, square numbers, and certain second-order linear recurring sequences. In this paper we extend these results by studying properties of the triangular numbers which are also g-gonal numbers (g ≥ 4).

AMS Classification

  • 11D09
  • 11A07
  • 11B39

References

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Cite this paper

Di Porto, A. and Filipponi, P. (1995). Some special triangular numbers and recurring sequences. Notes on Number Theory and Discrete Mathematics, 1(1), 11-26.

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